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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 691 - 700 (10page)
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초록· 키워드
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We use the xed alternative theorem to establish Hyers{Ulam{Rassias stabil-
ity of the quadratic functional equation where functions map a linear space into a complete quasi p-normed space. Moreover, we will show that the continuity behavior of an approximately quadratic mapping, which is controlled by a suitable continuous function, implies the continuity of a unique quadratic function, which is a good approximation to the mapping. We also give a few applications of our results in some special cases.
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참고문헌 (25)
참고문헌 신청
A. K. Mirmostafaee / / Stability of quartic mappings in non-Archimedean normed spaces / to be appear in Kyungpook Mathematical Journal(KMJ)
A. K. Mirmostafaee / 2008 / Fuzzy almost quadratic functions Result / Math 52 : 161 ~ 177
A. K. Mirmostafaee / 2008 / Fuzzy approximately cubic mappings / In- formation Sciences 78 (19) : 3791 ~ 3798
A. K. Mirmostafaee / 2008 / Fuzzy stability of the Jensen functional equation / Fuzzy Sets and Systems 159 : 730 ~ 738
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27 : 222 ~ 224
A. K. Mirmostafaee / 2008 / Fuzzy almost quadratic functions Result / Math 52 : 161 ~ 177
A. K. Mirmostafaee / 2008 / Fuzzy approximately cubic mappings / In- formation Sciences 78 (19) : 3791 ~ 3798
A. K. Mirmostafaee / 2008 / Fuzzy stability of the Jensen functional equation / Fuzzy Sets and Systems 159 : 730 ~ 738
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27 : 222 ~ 224
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